IDNLearn.com: Your trusted platform for finding precise and reliable answers. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.
Sagot :
To solve this question, we apply the formulas for the volume of a square pyramid and the cylinder, and verify if they are equal. Since the formulas yield different results, they are different and he is not correct.
Volume of a pyramid:
The volume of a pyramid, with base area [tex]A_b[/tex] and height h, is given by:
[tex]V = \frac{A_bh}{3}[/tex]
In a square pyramid, with edges e, we have that [tex]A_b = e^2[/tex], and then:
[tex]V = \frac{e^2h}{3}[/tex]
Volume of a cylinder:
The volume of a cylinder, with radius r and height h, is given by:
[tex]V = \pi r^2h[/tex]
Pyramid:
Edges of 12 and height of 10, which means that: [tex]e = 12, h = 10[/tex]. Thus
[tex]V_p = \frac{e^2h}{3} = \frac{12^2 \times 10}{3} = 480[/tex]
Cylinder:
Radius of 6.77, height of 10, so:
[tex]V_c = \pi r^2h = \pi(6.77)^2(10) = 1440[/tex]
Is he correct?
Since the volumes are different, he is not correct.
For a similar question, you can check https://brainly.com/question/21334693
Answer:
No, he made a mistake in solving for the volume of the cylinder.
Step-by-step explanation:
I'm taking the test. The reason this is correct is because Jude used the formula V=1/3 pi to the second power multiplied by the height. Which is not correct when solving for the volume of a cylinder. You don't use 1/3. Making the answer he made a mistake solving for the volume of a cylinder.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.
